Mesaros, AndrejSadri, DariusZaanen, Jan2011-12-162011-12-162011-12-16201010.1103/PhysRevB.82.073405https://infoscience.epfl.ch/handle/20.500.14299/75255WOS:000281017000001Geometrically a crystal containing dislocations and disclinations can be envisaged as a "fixed frame" Cartan-Einstein space-time carrying torsion and curvature, respectively. We demonstrate that electrons in defected graphene are transported in the same way as fundamental Dirac fermions in a nontrivial 2+ 1-dimensional space-time, with the proviso that the graphene electrons remember the lattice constant through the valley quantum numbers. The extra "valley holonomy" corresponds to modified Euclidean symmetry generators.Topological DefectsGraphitic ConesDislocationsFieldFermionsEquationCrystalTorsionMotionPhasestext::journal::journal article::research article